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Integrating Essential Skills into Training - National Adult Literacy ...

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◊ take precise measurements using specialized equipment (e.g.) a tape measure, a scale<br />

◊ make indirect measurements using geometry and trigonometry<br />

◊ measure curved or irregular surfaces<br />

◊ measure an angle<br />

◊ calculate amounts required (e.g.) the number of tiles required for a floor<br />

◊ calculate areas, perimeters, volumes<br />

◊ calculate total load weights<br />

◊ calculate a percentage<br />

◊ calculate a trajectory<br />

◊ calculate ratio, average, rate, proportion<br />

◊ use scientific notation, powers, roots<br />

◊ use formulae, equations, algebraic problems<br />

• data analysis math (analysis of numerical data)<br />

◊ analysis of statistics<br />

◊ determining what is higher, lower or bigger, smaller<br />

◊ compare a numerical read-out to a range of numbers considered acceptable<br />

◊ compare rates, averages, etc.<br />

◊ calculate average rates of return on investments<br />

◊ compare monthly sales volumes<br />

◊ make projections<br />

◊ calculate impacts of different variables on pay and benefits packages<br />

• numerical estimation (tasks that involve any estimation that results in a number)<br />

◊ estimate amount of material to be used<br />

◊ estimate time a task will take<br />

◊ estimate costs<br />

◊ estimate load weights<br />

◊ estimate numbers of workers required<br />

◊ estimate time available<br />

◊ estimate amounts that can be produced from raw materials<br />

◊ estimate number that will be sold<br />

Some considerations:<br />

◊ the need to use specific math foundations (math skills, concepts or knowledge areas):<br />

• number concepts: whole numbers, integers, fractions, decimals, percentages,<br />

powers/roots, scientific notation, significant digits. (Workers read, write, count,<br />

round-off, add, subtract, multiply and divide numbers.)<br />

• number patterns and relations: formulae, equations, rates, ratios, proportion<br />

• shape and special sense: areas, perimeters and volumes, measurement<br />

conversions, geometry and trigonometry (using sine, cosine, tangent, cotangent,<br />

secant and cosecant ratios to solve the unknown side of an angle or triangle)<br />

• statistics and probability: calculating averages, analysing data, using<br />

mathematical theories of probability

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